Find the ratio in which the area bounded by the curves `y^2=12 x` and `x^2=12 y` is divided by the line `x=3.`

Explanation

To find the ratio in which the area bounded by the curves \( y^2 = 12x \) and \( x^2 = 12y \) is divided by the line \( x = 3 \), we will follow these steps:

### Step 1: Find the Points of Intersection
We start by finding the points where the two curves intersect.

1. From the equation \( y^2 = 12x \), we can express \( x \) in terms of \( y \):
\[
x = \frac{y^2}{12}
...